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Finding the Third Proportional to 429.61 and 825.05

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Solution

The third proportional to 429.61 and 825.05 is: 1,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.61 : 825.05 = 825.05 : x
  2. Step 2: Convert to fraction form
    429.61/825.05 = 825.05/x
  3. Step 3: Cross multiply
    429.61x = 825.05 × 825.05
  4. Step 4: Simplify right side
    429.61x = 680,702.35
  5. Step 5: Solve for x
    x = 680,702.35/429.61
  6. Step 6: Final answer
    x = 1,584.47

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.